131204254521440 has 96 divisors (see below), whose sum is σ = 323543275909056. Its totient is φ = 50184947957760.

The previous prime is 131204254521419. The next prime is 131204254521443. The reversal of 131204254521440 is 44125452402131.

It is a junction number, because it is equal to n+sod(n) for n = 131204254521394 and 131204254521403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131204254521443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7064504 + ... + 17672456.

It is an arithmetic number, because the mean of its divisors is an integer number (3370242457386).

Almost surely, 2^{131204254521440} is an apocalyptic number.

131204254521440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131204254521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161771637954528).

131204254521440 is an abundant number, since it is smaller than the sum of its proper divisors (192339021387616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131204254521440 is a wasteful number, since it uses less digits than its factorization.

131204254521440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10611352 (or 10611344 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

The spelling of 131204254521440 in words is "one hundred thirty-one trillion, two hundred four billion, two hundred fifty-four million, five hundred twenty-one thousand, four hundred forty".